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» Dispersion in Unit Disks
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CCCG
2008
13 years 10 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...
COMPGEOM
2000
ACM
14 years 1 months ago
Kinetic connectivity for unit disks
We describe a kinetic data structure (KDS) that maintains the connected components of the union of a set of unit-radius disks moving in the plane. We assume that the motion of eac...
Leonidas J. Guibas, John Hershberger, Subhash Suri...
DCOSS
2008
Springer
13 years 10 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis
COCOA
2009
Springer
14 years 3 months ago
A PTAS for Node-Weighted Steiner Tree in Unit Disk Graphs
Abstract. The node-weighted Steiner tree problem is a variation of classical Steiner minimum tree problem. Given a graph G = (V, E) with node weight function C : V → R+ and a sub...
Xianyue Li, Xiao-Hua Xu, Feng Zou, Hongwei Du, Pen...
SIROCCO
2007
13 years 10 months ago
Location Oblivious Distributed Unit Disk Graph Coloring
We present the first location oblivious distributed unit disk graph coloring algorithm having a provable performance ratio of three (i.e. the number of colors used by the algorit...
Mathieu Couture, Michel Barbeau, Prosenjit Bose, P...